The existence of a nontrivial solution to p‐Laplacian equations in with supercritical growth

DOI10.1002/mma.2570zbMath1488.35261OpenAlexW2147715399MaRDI QIDQ4907173

Chunhua Wang, Gongbao Li

Publication date: 31 January 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2570

zbMATH Keywords

variational methodsperturbation argumentssupercritical growth\((C)_c\) sequencep-Laplacian equations

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

On quasilinear elliptic problems with finite or infinite potential wells ⋮ Generalized quasilinear elliptic equations in \(\mathbb{R}^N\) ⋮ Nonlinear perturbations of a periodic Schrödinger equation with supercritical growth ⋮ Fractional weighted \(p\)-Kirchhoff equations with general nonlinearity ⋮ \(p\)-Laplacian type equations via mountain pass theorem in Cerami sense ⋮ Normalized solutions for p-Laplacian equations with a \(L^2\)-supercritical growth ⋮ Solutions of perturbed p-Laplacian equations with critical nonlinearity ⋮ Nonlinear perturbations of a periodic fractional Laplacian with supercritical growth

Cites Work

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• On existence of solution for a class of semilinear elliptic equations with nonlinearities that lies between different powers
• Superlinear problems without Ambrosetti and Rabinowitz growth condition
• The existence of a nontrivial solution to a nonlinear elliptic boundary value problem of \(p\)-Laplacian type without the Ambrosetti-Rabinowitz condition
• On superlinear problems without the Ambrosetti and Rabinowitz condition
• On ground states of superlinear \(p\)-Laplacian equations in R\(^N\)
• Ground state solutions for some indefinite variational problems
• Sull'esistenza di autovalori per un problema al contorno non lineare
• On a class of nonlinear Schrödinger equations
• On a superlinear elliptic \(p\)-Laplacian equation.
• Nontrivial solutions for perturbations of the \(p\)-Laplacian on unbounded domains
• Generalized linking theorem with an application to a semilinear Schrödinger equation
• Dual variational methods in critical point theory and applications
• On multiplicity and concentration of positive solutions for a class of quasilinear problems with critical exponential growth in \(\mathbb R^{N}\)
• Linking over cones and nontrivial solutions for \(p\)-Laplace equations with \(p\)-superlinear nonlinearity
• On some nonlinear elliptic problems for \(p\)-Laplacian in \(\mathbb{R}^N\)
• The existence of a nontrivial solution to a nonlinear elliptic problem of linking type without the Ambrosetti-Rabinowitz condition
• MULTIPLE SOLUTIONS TO p-LAPLACIAN PROBLEMS WITH ASYMPTOTIC NONLINEARITY AS up−1 AT INFINITY
• A Variation of the Mountain Pass Lemma and Applications
• Homoclinic type solutions for a semilinear elliptic PDE on ℝⁿ
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• On a Schrodinger equation with periodic potential and spectrum point zero
• On the Existence of Positive Solutions of Semilinear Elliptic Equations
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• Asymptotically linear Dirichlet problem for the \(p\)-Laplacian
• Variational and topological methods for Dirichlet problems with \(p\)-Laplacian